Periodic solutions of nonlinear wave equations for asymptotically full measure sets of frequencies

  • Pietro Baldi

    Università degli Studi di Napoli Federico II, Italy
  • Massimiliano Berti

    Università degli Studi di Napoli Federico II, Italy

Abstract

We prove existence and multiplicity of small amplitude periodic solutions of completely resonant nonlinear wave equations with Dirichlet boundary conditions for asymptotically full measure sets of frequencies, extending the results of [7] for new types of nonlinearities.

Cite this article

Pietro Baldi, Massimiliano Berti, Periodic solutions of nonlinear wave equations for asymptotically full measure sets of frequencies. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 17 (2006), no. 3, pp. 257–277

DOI 10.4171/RLM/468